Another nod for Ayre. I also recommend T+A P3000HV.
There is a demo T+A on Agon,
https://www.audiogon.com/listings/lis8hd59-t-a-elektroakustik-p3000hv-available-in-titanium-and-silv...
And this is hot off the press for you to consider,
https://www.stereophile.com/content/emm-labs-dv2-da-processor
Should you choose to look into a Tube pre, ARC Ref6 should be on your list. I believe it will be a killer pre for your 625 S2 amp.
There is a demo T+A on Agon,
https://www.audiogon.com/listings/lis8hd59-t-a-elektroakustik-p3000hv-available-in-titanium-and-silv...
And this is hot off the press for you to consider,
https://www.stereophile.com/content/emm-labs-dv2-da-processor
Should you choose to look into a Tube pre, ARC Ref6 should be on your list. I believe it will be a killer pre for your 625 S2 amp.